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Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber.
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29 Aug 2018, 16:18
29 Aug 2018, 16:18
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Question Stats:
68% (01:44) correct
31% (02:11) wrong based on 95 sessions
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Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. Sheldon combines an amount of the two cereals in a single bowl of mixed cereal that is 65% fiber. If the bowl contains a total of 12 ounces of cereal, how much of the cereal, in ounces, is Fiber X?
(A) 3
(B) 4
(C) 6
(D) 8
(E) 9
(A) 3
(B) 4
(C) 6
(D) 8
(E) 9
Re: Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber.
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15 Oct 2018, 09:56
15 Oct 2018, 09:56
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Use the weighted average formula to get the ratio of Fiber X to Fiber Max:
[0.55X+0.70m][/x+m] = 0.65
where x is the amount of Fiber X and m is the amount of Fiber Max.
This is not that different from the regular average formula—on the top, there is the total amount of
fiber (55% of Fiber X and 70% of Fiber Max), which is divided by the total amount of cereal (x + m)
to get the average. Simplify by multiplying both sides by (x + m):
0.55x + 0.70m = 0.65(x + m)
0.55x + 0.70m = 0.65x + 0.65m
To simplify, multiply both sides of the equation by 100 to eliminate all the decimals:
55x + 70m = 65x + 65m
55x + 5m = 65x
5m = 10x
m/x= 1/2
Since m and x are in a 2 to 1 ratio, 2/3 of the total is m and 1/3 of the total is x. Since the total is 12
ounces, Fiber X accounts for (12) = 4 ounces of the mixed cereal.
[0.55X+0.70m][/x+m] = 0.65
where x is the amount of Fiber X and m is the amount of Fiber Max.
This is not that different from the regular average formula—on the top, there is the total amount of
fiber (55% of Fiber X and 70% of Fiber Max), which is divided by the total amount of cereal (x + m)
to get the average. Simplify by multiplying both sides by (x + m):
0.55x + 0.70m = 0.65(x + m)
0.55x + 0.70m = 0.65x + 0.65m
To simplify, multiply both sides of the equation by 100 to eliminate all the decimals:
55x + 70m = 65x + 65m
55x + 5m = 65x
5m = 10x
m/x= 1/2
Since m and x are in a 2 to 1 ratio, 2/3 of the total is m and 1/3 of the total is x. Since the total is 12
ounces, Fiber X accounts for (12) = 4 ounces of the mixed cereal.
General Discussion
Re: Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber.
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31 Aug 2018, 02:43
31 Aug 2018, 02:43
1
I am sorry, I need have my head wraped around such type of question. would highly appriciate is someone can share a link to a video link to these type of questions.
Can somebody please explain it here.
Thanks in advance.
Can somebody please explain it here.
Thanks in advance.
